Shapiro-Wilk Normality Test

Discover whether your data is normally distributed with a fast, visual, and easy-to-understand workflow.

Shapiro–Wilk Test helps you run a normality test and understand what the results mean. Enter your sample values, run the test, and review the W statistic, p-value, decision at the 5% significance level, Q–Q plot, and histogram with a matching normal curve—all in one clear experience.

Key features:

• Shapiro–Wilk normality testing
• Clear W statistic, p-value, and decision
• Q–Q plot for spotting departures from normality
• Histogram with a matching normal curve
• Mean, standard deviation, and sample-size summaries
• Normal, skewed, heavy-tail, and bimodal data simulations
• Real-world examples for practicing interpretation
• Clear explanations of the concepts and results

The app is useful for students, researchers, lecturers, data analysts, and anyone who needs to check the normality assumption before applying parametric statistical methods.

Use statistical results together with visual evidence. The p-value provides a formal decision, while the Q–Q plot and histogram help you understand the overall shape of your data.

Whether you are learning statistics, checking an assignment, exploring a dataset, or preparing an analysis, Shapiro–Wilk Test keeps the process focused and approachable.

Please note: this app is intended as a learning and analytical aid. Always consider your research context, data quality, sample size, and the assumptions of other statistical methods before making a final decision.